Potentials of the Heun class: The triconfluent case

@article{Batic2015PotentialsOT,
  title={Potentials of the Heun class: The triconfluent case},
  author={David Batic and D. Mills-Howell and Marek Nowakowski},
  journal={Journal of Mathematical Physics},
  year={2015},
  volume={56},
  pages={052106}
}
We study special classes of potentials for which the one-dimensional (or radial) Schrodinger equation can be reduced to a triconfluent Heun equation by a suitable coordinate transformation together with an additional transformation of the wave function. In particular, we analyze the behaviour of those subclasses of the potential arising when the ordinary differential equation governing the coordinate transformation admits explicit analytic solutions in terms of the radial variable. Furthermore… 
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